# The sides of the triangle are 5: 7: 11, and the sum of the largest and smallest sides is 80 cm.

July 29, 2021 | education

| **The sides of the triangle are 5: 7: 11, and the sum of the largest and smallest sides is 80 cm. Calculate the perimeter of the triangle.**

1. Let’s designate the smallest side of the triangle 5X, then the second side will be 7X, and the largest 11X. The perimeter of a triangle is equal to the sum of all its sides. Let’s write the expression and transform it:

P = 5X + 7X + 11X = 23X.

2. According to the condition of the problem, the sum of the smallest and largest sides is 80 cm. Let’s make an equation and find X:

5X + 11X = 80;

16X = 80;

X = 80/16;

X = 5.

3. Substitute the X value into the perimeter formula and calculate it:

P = 23 * 5 = 115 (cm).

Answer: the perimeter of the triangle is 115 cm.

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